Finite Group Databasebeta

← Group #13140109

Character table — Group #13140109

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order122222223666666644121212123366666666666666366666661212121212121212121212121212121222444444444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ922222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002200220000000000000000-1-1-1-1-1-1-1-1
χ1022222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-2000000000000000011111111
χ112222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100222200000000000000-1-1-1-1-1-1-1-100000000
χ122222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-2000000000000001111111100000000
χ132222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000002200-2-20000000000000000-1-1-1-11111
χ142222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000-2-2002200000000000000001111-1-1-1-1
χ152222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111110022-2-200000000000000-1-1-1-1111100000000
χ162222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111111100-2-222000000000000001111-1-1-1-100000000
χ17222-2-2-2-22222-2-2-2-2200000022222-222-2-2-2-2-2-22-22222-2-2-2-200000000000000000000002i−2i000000000000000000002i2i−2i−2i0000
χ18222-2-2-2-22222-2-2-2-2200000022222-222-2-2-2-2-2-22-22222-2-2-2-20000000000000000000000−2i2i00000000000000000000−2i−2i2i2i0000
χ19222-2-2-2-22222-2-2-2-220000002-1222-2-1-111-21-2-2-11-1-1-1-11111000033−3−33333−3−3−3−30000002i−2i00000000000000000000−i−iii−i3−i3i3i3
χ20222-2-2-2-22222-2-2-2-220000002-1222-2-1-111-21-2-2-11-1-1-1-11111000033−3−33333−3−3−3−3000000−2i2i00000000000000000000ii−i−ii3i3−i3−i3
χ21222-2-2-2-22222-2-2-2-220000002-1222-2-1-111-21-2-2-11-1-1-1-111110000−3−333−3−3−3−333330000002i−2i00000000000000000000−i−iiii3i3−i3−i3
χ22222-2-2-2-22222-2-2-2-220000002-1222-2-1-111-21-2-2-11-1-1-1-111110000−3−333−3−3−3−33333000000−2i2i00000000000000000000ii−i−i−i3−i3i3i3
χ2322-222-2-2-222-22-2-22-2000000222-2-222-2-2-222-2-2-2222-2-22-2-22000000000000000000002i−2i0000000000000000002i2i−2i−2i00000000
χ2422-222-2-2-222-22-2-22-2000000222-2-222-2-2-222-2-2-2222-2-22-2-2200000000000000000000−2i2i000000000000000000−2i−2i2i2i00000000
χ2522-222-2-2-222-22-2-22-2000000-12-111-12-2-2-2-1211-22-1-111-111-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i0000000000000033−3−3−i−iii00000000
χ2622-222-2-2-222-22-2-22-2000000-12-111-12-2-2-2-1211-22-1-111-111-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i00000000000000−3−333ii−i−i00000000
χ2722-222-2-2-222-22-2-22-2000000-12-111-12-2-2-2-1211-22-1-111-111-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i00000000000000−3−333−i−iii00000000
χ2822-222-2-2-222-22-2-22-2000000-12-111-12-2-2-2-1211-22-1-111-111-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i0000000000000033−3−3ii−i−i00000000
χ2922-2-2-222-222-2-222-2-2000000222-2-2-22-222-2-222-2-222-2-2-222-20000000000000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ3022-2-2-222-222-2-222-2-2000000222-2-2-22-222-2-222-2-222-2-2-222-2000000000000000000000000−2i2i000000−2i−2i2i2i0000000000000000
χ312-222-22-2-22-22-22-22-200000022-22-2-2-222-2222-2-2-22-22-2-22-22000000000000000000000000002i−2i000000000000000000002i−2i2i−2i
χ322-222-22-2-22-22-22-22-200000022-22-2-2-222-2222-2-2-22-22-2-22-2200000000000000000000000000−2i2i00000000000000000000−2i2i−2i2i
χ332-222-22-2-22-22-22-22-20000002-1-22-2-21-1-112-12-211-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000002i−2i00000000000000003−33−3−ii−ii
χ342-222-22-2-22-22-22-22-20000002-1-22-2-21-1-112-12-211-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000−2i2i0000000000000000−33−33i−ii−i
χ352-222-22-2-22-22-22-22-20000002-1-22-2-21-1-112-12-211-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000002i−2i0000000000000000−33−33−ii−ii
χ362-222-22-2-22-22-22-22-20000002-1-22-2-21-1-112-12-211-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000−2i2i00000000000000003−33−3i−ii−i
χ372-22-22-22-22-222-22-2-22i−2i2i2i−2i−2i22-22-22-22-22-2-2-22-222-22-22-22-22i−2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ382-22-22-22-22-222-22-2-22i−2i2i2i−2i−2i2-1-22-221-11-1-21-221-1-11-11-11-112i−2i2i−2i−iii−i−ii−iii−ii−i0000000000000000000000000000−i3i3i3−i3−333−3
χ392-22-22-22-22-222-22-2-22i−2i2i2i−2i−2i2-1-22-221-11-1-21-221-1-11-11-11-112i−2i2i−2i−iii−i−ii−iii−ii−i0000000000000000000000000000i3−i3−i3i33−3−33
χ402-22-22-22-22-222-22-2-22i−2i2i2i−2i−2i-121-11-1-22-221-21-1-22-11-11-11-11−ii−ii2i−2i−2i2i−ii−iii−ii−i000000000000000000003−33−3−i3i3−i3i300000000
χ412-22-22-22-22-222-22-2-22i−2i2i2i−2i−2i-121-11-1-22-221-21-1-22-11-11-11-11−ii−ii2i−2i−2i2i−ii−iii−ii−i00000000000000000000−33−33i3−i3i3−i300000000
χ422-22-22-22-22-222-22-2-2−2i2i−2i−2i2i2i22-22-22-22-22-2-2-22-222-22-22-22-2−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ432-22-22-22-22-222-22-2-2−2i2i−2i−2i2i2i2-1-22-221-11-1-21-221-1-11-11-11-11−2i2i−2i2ii−i−iii−ii−i−ii−ii0000000000000000000000000000−i3i3i3−i33−3−33
χ442-22-22-22-22-222-22-2-2−2i2i−2i−2i2i2i2-1-22-221-11-1-21-221-1-11-11-11-11−2i2i−2i2ii−i−iii−ii−i−ii−ii0000000000000000000000000000i3−i3−i3i3−333−3
χ452-22-22-22-22-222-22-2-2−2i2i−2i−2i2i2i-121-11-1-22-221-21-1-22-11-11-11-11i−ii−i−2i2i2i−2ii−ii−i−ii−ii000000000000000000003−33−3i3−i3i3−i300000000
χ462-22-22-22-22-222-22-2-2−2i2i−2i−2i2i2i-121-11-1-22-221-21-1-22-11-11-11-11i−ii−i−2i2i2i−2ii−ii−i−ii−ii00000000000000000000−33−33−i3i3−i3i300000000
χ472-2-22-2-2222-2-2-2-222200000022-2-22-2-2-2-2222-222-22-2-22-2-22200000000000000002-2000000000022-2-200000000000000000000
χ482-2-22-2-2222-2-2-2-222200000022-2-22-2-2-2-2222-222-22-2-22-2-2220000000000000000-220000000000-2-22200000000000000000000
χ492-2-2-222-222-2-222-2-2200000022-2-222-2-22-2-2-22-2222-2-2222-2-20000000000000000002-200000000000000002-2-22000000000000
χ502-2-2-222-222-2-222-2-2200000022-2-222-2-22-2-2-22-2222-2-2222-2-2000000000000000000-220000000000000000-222-2000000000000
χ512-2-2-222-222-2-222-2-22000000-1211-1-1-2-22-21-2-1122-111-1-1-1113−3−3300003−3−33−333−3002-20000000000000000-111-1−333−300000000
χ522-2-2-222-222-2-222-2-22000000-1211-1-1-2-22-21-2-1122-111-1-1-1113−3−3300003−3−33−333−300-2200000000000000001-1-113−3−3300000000
χ532-2-2-222-222-2-222-2-22000000-1211-1-1-2-22-21-2-1122-111-1-1-111−333−30000−333−33−3−33002-20000000000000000-111-13−3−3300000000
χ542-2-2-222-222-2-222-2-22000000-1211-1-1-2-22-21-2-1122-111-1-1-111−333−30000−333−33−3−3300-2200000000000000001-1-11−333−300000000
χ554444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ564444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ57444-4-4-4-44444-4-4-4-44000000-24-2-2-2244-4-42-4224-4-2-2-2-222220000000000000000000000000000000000000000000000000000
χ58444-4-4-4-44444-4-4-4-44000000-2-2-2-2-22-2-2222222-221111-1-1-1-100002323−23−23−3−3−3−33333000000000000000000000000000000000000
χ59444-4-4-4-44444-4-4-4-44000000-2-2-2-2-22-2-2222222-221111-1-1-1-10000−23−2323233333−3−3−3−3000000000000000000000000000000000000
χ6044-444-4-4-444-44-4-44-40000004-24-4-44-22224-2-4-42-2-2-222-222-20000000000000000000000000000000000000000000000000000
χ6144-444-4-4-444-44-4-44-4000000-2-2-222-2-2222-2-2222-211-1-11-1-11−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ6244-444-4-4-444-44-4-44-4000000-2-2-222-2-2222-2-2222-211-1-11-1-112i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ6344-4-4-444-444-4-444-4-40000004-24-4-4-4-22-2-2-424422-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6444-4-4-444-444-4-444-4-4000000-24-22224-4442-4-2-2-4-4-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6544-4-4-444-444-4-444-4-4000000-2-2-2222-22-2-222-2-22211-1-1-111-1000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000
χ6644-4-4-444-444-4-444-4-4000000-2-2-2222-22-2-222-2-22211-1-1-111-100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000
χ674-444-44-4-44-44-44-44-4000000-242-222-444-4-24-22-4-4-22-222-22-20000000000000000000000000000000000000000000000000000
χ684-444-44-4-44-44-44-44-4000000-2-22-2222-2-22-2-2-22221-11-1-11-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ694-444-44-4-44-44-44-44-4000000-2-22-2222-2-22-2-2-22221-11-1-11-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ704-44-44-44-44-444-44-4-44i−4i4i4i−4i−4i-2-22-22-22-22-2222-22-21-11-11-11-1−2i2i−2i2i−2i2i2i−2ii−ii−i−ii−ii000000000000000000000000000000000000
χ714-44-44-44-44-444-44-4-4−4i4i−4i−4i4i4i-2-22-22-22-22-2222-22-21-11-11-11-12i−2i2i−2i2i−2i−2i2i−ii−iii−ii−i000000000000000000000000000000000000
χ724-4-44-4-4444-4-4-4-44440000004-2-4-44-4222-24-2-44-22-222-222-2-20000000000000000000000000000000000000000000000000000
χ734-4-44-4-4444-4-4-4-4444000000-2422-22-4-4-44-242-24-4-222-222-2-20000000000000000000000000000000000000000000000000000
χ744-4-44-4-4444-4-4-4-4444000000-2-222-22222-2-2-22-2-221-1-11-1-111000000003-3-333-3-33000000000000000000000000000000000000
χ754-4-44-4-4444-4-4-4-4444000000-2-222-22222-2-2-22-2-221-1-11-1-11100000000-333-3-333-3000000000000000000000000000000000000
χ764-4-4-444-444-4-444-4-440000004-2-4-44422-22-424-4-2-2-222-2-2-2220000000000000000000000000000000000000000000000000000
χ774-4-4-444-444-4-444-4-44000000-2-222-2-222-2222-22-2-21-1-1111-1-123−23−23230000−333−33−3−33000000000000000000000000000000000000
χ784-4-4-444-444-4-444-4-44000000-2-222-2-222-2222-22-2-21-1-1111-1-1−232323−2300003−3−33−333−3000000000000000000000000000000000000
χ7966666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000220000002200-1-1-1-1-1-1-1-10000000000000000
χ8066666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000-2-2000000-2-200111111110000000000000000
χ8166666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000022000000-2-200-1-1-1-111110000000000000000
χ8266666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000-2-200000022001111-1-1-1-10000000000000000
χ8366-6-6-666-6-3-333-3-3330033−3333−330000000000000000000000000000000000000000000000002i−2i00−i3i3−i3i3−i−iii0000000000000000
χ8466-6-6-666-6-3-333-3-3330033−3333−33000000000000000000000000000000000000000000000000−2i2i00i3−i3i3−i3ii−i−i0000000000000000
χ8566-6-6-666-6-3-333-3-33300−3333−33330000000000000000000000000000000000000000000000002i−2i00i3−i3i3−i3−i−iii0000000000000000
χ8666-6-6-666-6-3-333-3-33300−3333−3333000000000000000000000000000000000000000000000000−2i2i00−i3i3−i3i3ii−i−i0000000000000000
χ876-66-66-66-6-33-3-33-3336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000000000000−i3i3i3−i33−33−30000000000000000
χ886-66-66-66-6-33-3-33-3336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000000000000i3−i3−i3i3−33−330000000000000000
χ896-66-66-66-6-33-3-33-333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000000000000−i3i3i3−i3−33−330000000000000000
χ906-66-66-66-6-33-3-33-333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000000000000i3−i3−i3i33−33−30000000000000000
χ916-6-66-6-666-33333-3-3-300−3i33i33i3−3i300000000000000000000000000000000000000002-20000000000-1-111−i3i3i3−i30000000000000000
χ926-6-66-6-666-33333-3-3-300−3i33i33i3−3i30000000000000000000000000000000000000000-22000000000011-1-1i3−i3−i3i30000000000000000
χ936-6-66-6-666-33333-3-3-3003i3−3i3−3i33i300000000000000000000000000000000000000002-20000000000-1-111i3−i3−i3i30000000000000000
χ946-6-66-6-666-33333-3-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000-22000000000011-1-1−i3i3i3−i30000000000000000
χ95121212-12-12-12-1212-6-6-66666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-121212-12-12-12-6-66-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-121212-1212-12-12-66-66-66-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-12-121212-1212-666-6-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).